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In wide neural networks, the Neural Tangent Kernel (NTK) remains approximately constant during training, providing a powerful theoretical tool for studying training dynamics, generalization, and connections to kernel methods. However, this…

机器学习 · 计算机科学 2026-05-26 Jonathan Plenk , Sergio Calvo-Ordonez , Alvaro Cartea , Yarin Gal , Mark van der Wilk , Kamil Ciosek

Contemporary wisdom based on empirical studies suggests that standard recurrent neural networks (RNNs) do not perform well on tasks requiring long-term memory. However, precise reasoning for this behavior is still unknown. This paper…

机器学习 · 计算机科学 2021-01-21 Melikasadat Emami , Mojtaba Sahraee-Ardakan , Parthe Pandit , Sundeep Rangan , Alyson K. Fletcher

Over-parameterized deep neural networks (DNNs) with sufficient capacity to memorize random noise can achieve excellent generalization performance, challenging the bias-variance trade-off in classical learning theory. Recent studies claimed…

机器学习 · 计算机科学 2022-11-15 Xiao Zhang , Haoyi Xiong , Dongrui Wu

Understanding the implicit regularization imposed by neural network architectures and gradient based optimization methods is a key challenge in deep learning and AI. In this work we provide sharp results for the implicit regularization…

机器学习 · 计算机科学 2023-07-17 Johan S. Wind , Vegard Antun , Anders C. Hansen

The proper initialization of weights is crucial for the effective training and fast convergence of deep neural networks (DNNs). Prior work in this area has mostly focused on balancing the variance among weights per layer to maintain…

机器学习 · 计算机科学 2020-06-05 Maciej Skorski , Alessandro Temperoni , Martin Theobald

Deep neural networks (DNNs) form the backbone of almost every state-of-the-art technique in the fields such as computer vision, speech processing, and text analysis. The recent advances in computational technology have made the use of DNNs…

机器学习 · 计算机科学 2018-03-20 Saiprasad Koturwar , Shabbir Merchant

Deep Neural Networks (DNNs) excel at many tasks, often rivaling or surpassing human performance. Yet their internal processes remain elusive, frequently described as "black boxes." While performance can be refined experimentally, achieving…

无序系统与神经网络 · 物理学 2025-02-03 Sebastiano Ariosto

Standard deep neural networks (DNNs) are commonly trained in an end-to-end fashion for specific tasks such as object recognition, face identification, or character recognition, among many examples. This specificity often leads to…

计算机视觉与模式识别 · 计算机科学 2020-07-14 Raphaël Achddou , J. Matias di Martino , Guillermo Sapiro

Neural networks have achieved remarkable success in many cognitive tasks. However, when they are trained sequentially on multiple tasks without access to old data, their performance on early tasks tend to drop significantly. This problem is…

机器学习 · 计算机科学 2021-02-10 Dong Yin , Mehrdad Farajtabar , Ang Li , Nir Levine , Alex Mott

A recent breakthrough in deep learning theory shows that the training of over-parameterized deep neural networks can be characterized by a kernel function called \textit{neural tangent kernel} (NTK). However, it is known that this type of…

机器学习 · 计算机科学 2020-10-07 Zixiang Chen , Yuan Cao , Quanquan Gu , Tong Zhang

Deep Neural Networks (DNNs) provide state-of-the-art solutions in several difficult machine perceptual tasks. However, their performance relies on the availability of a large set of labeled training data, which limits the breadth of their…

机器学习 · 计算机科学 2018-03-01 Randall Balestriero , Herve Glotin , Richard Baraniuk

To adapt to real-world data streams, continual learning (CL) systems must rapidly learn new concepts while preserving and utilizing prior knowledge. When it comes to adding new information to continually-trained deep neural networks (DNNs),…

机器学习 · 计算机科学 2025-07-02 Md Yousuf Harun , Christopher Kanan

The training dynamics and generalization properties of neural networks (NN) can be precisely characterized in function space via the neural tangent kernel (NTK). Structural changes to the NTK during training reflect feature learning and…

机器学习 · 统计学 2022-02-11 Haozhe Shan , Blake Bordelon

The loss surface of an overparameterized neural network (NN) possesses many global minima of zero training error. We explain how common variants of the standard NN training procedure change the minimizer obtained. First, we make explicit…

机器学习 · 统计学 2023-09-26 Manuel Nonnenmacher , David Reeb , Ingo Steinwart

Deep neural network (DNN) quantization for fast, efficient inference has been an important tool in limiting the cost of machine learning (ML) model inference. Quantization-specific model development techniques such as regularization,…

计算机视觉与模式识别 · 计算机科学 2025-06-13 Stone Yun , Alexander Wong

Background: Deep learning models are typically trained using stochastic gradient descent or one of its variants. These methods update the weights using their gradient, estimated from a small fraction of the training data. It has been…

机器学习 · 统计学 2018-01-03 Elad Hoffer , Itay Hubara , Daniel Soudry

Neural networks trained via gradient descent with random initialization and without any regularization enjoy good generalization performance in practice despite being highly overparametrized. A promising direction to explain this phenomenon…

机器学习 · 计算机科学 2022-05-17 Hancheng Min , Salma Tarmoun , Rene Vidal , Enrique Mallada

Algorithm unfolding or unrolling is the technique of constructing a deep neural network (DNN) from an iterative algorithm. Unrolled DNNs often provide better interpretability and superior empirical performance over standard DNNs in signal…

机器学习 · 统计学 2024-02-21 Carter Lyons , Raghu G. Raj , Margaret Cheney

This paper is motivated by an open problem around deep networks, namely, the apparent absence of over-fitting despite large over-parametrization which allows perfect fitting of the training data. In this paper, we analyze this phenomenon in…

机器学习 · 计算机科学 2019-08-28 Hrushikesh Mhaskar , Tomaso Poggio

Distributed learning facilitates the scaling-up of data processing by distributing the computational burden over several nodes. Despite the vast interest in distributed learning, generalization performance of such approaches is not well…

机器学习 · 统计学 2020-05-05 Martin Hellkvist , Ayça Özçelikkale , Anders Ahlén